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Artículo
Moving discrete breathers in a β-FPU lattice revisited
(Elsevier, 2022-08)
In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of ...
Artículo
Stability of traveling waves in a driven Frenkel–Kontorova model
(Elsevier, 2020-06)
In this work we revisit a classical problem of traveling waves in a damped Frenkel–Kontorova lattice driven by a constant external force. We compute these solutions as fixed points of a nonlinear map and obtain the ...
Artículo
Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability
(American Physical Society, 2017)
In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves in Hamiltonian nonlinear dynamical lattices, of which the Fermi-Pasta-Ulam and the Toda lattice are ...